Cenre uer Cnte uer Pearson Edexcel International GCSE ...

1 *P66297A0128*Turn over candidate surnameOther namesTotal MarksCentre NumberCandidate NumberPlease check the examination details below before entering your candidate informationMathematics APaper 1 HHigher Tier Instructions Use black ink or ball point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number . Answer all questions. Without sufficient working, correct answers may be awarded no marks. Answer the questions in the spaces provided there may be more space than you need.

2 Calculators may be used. You must NOT write anything on the formulae page. Anything you write on the formulae page will gain NO The total mark for this paper is 100. The marks for each question are shown in brackets use this as a guide as to how much time to spend on each Read each question carefully before you start to answer it. Check your answers if you have time at the must have:Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be Reference 4MA1/1 HMorning (Time: 2 hours)P66297A 2021 Pearson Education Edexcel International GCSET hursday 7 January *P66297A0228*2 International gcse MathematicsFormulae sheet Higher TierArithmetic seriesSum to n terms, Sn = n2 [2a + (n 1)d]Area of trapezium = 12(a + b)hbahThe quadratic equationThe solutions of ax2 + bx + c = 0 where a 0 are given by.

3 Xbbaca= 242 TrigonometryABCbacIn any triangle ABCSine Rule aAbBcCsinsinsin==Cosine Rule a2 = b2 + c2 2bccosAArea of triangle = 12absinCVolume of cone = 13 r2hCurved surface area of cone = rlrlhVolume of prism = area of cross section lengthcross sectionlengthVolume of cylinder = r2h Curved surface area of cylinder = 2 rhrhVolume of sphere = 43 r3 Surface area of sphere = 4 *P66297A0328*Turn over 3 Answer ALL TWENTY FOUR your answers in the spaces must write down all the stages in your Pieter owns a currency conversion shop.

4 Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 310 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9 : 5 : 2 Pieter changed more rands into dollars than he changed into francs. Work out how many rand(Total for Question 1 is 4 marks) *P66297A0428*4 2 The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a (s kilometres per hour)Frequency40 < s 501050 < s 601660 < s 701970 < s 802380 < s 9012 (a) Write down the modal (1) (b) Work out an estimate for the mean speed of the motorbikes as they pass under the bridge.

5 Give your answer correct to 3 significant kilometres per hour(4)(Total for Question 2 is 5 marks) *P66297A0528*Turn over 5 3 The diagram shows a container for water in the shape of a NOT accurately drawn125 cm40 cm30 cm60 cm85 cm20 cm The rectangular base of the prism, shown shaded in the diagram, is horizontal. The container is completely full of water. Tuah is going to use a pump to empty the water from the container so that the volume of water in the container decreases at a constant rate. The pump starts to empty water from the container at 10 30 and at 12 00 the water level in the container has dropped by 20 cm.

6 Find the time at which all the water has been pumped out of the (Total for Question 3 is 4 marks) *P66297A0628*6 4 E = {20, 21, 22, 23, 24, 25, 26, 27, 28, 29} A = {odd numbers} B = {multiples of 3} List the members of the set (i) A (1) (ii) A (1)(Total for Question 4 is 2 marks) *P66297A0728*Turn over 7 5 (a) Factorise fully 15y4 + (2) (b) Solve 4 3x = 584 x Show clear algebraic = ..(3)(Total for Question 5 is 5 marks)6 (a) Write 2 840 000 000 in standard (1) (b) Write 10 4 as an ordinary (1)(Total for Question 6 is 2 marks) *P66297A0828*8 7 Chen invests 40 000 yuan in a fixed-term bond for 3 years.

7 The fixed-term bond pays compound interest at a rate of each year. (a) Work out the value of Chen s investment at the end of 3 years. Give your answer to the nearest yuan(3) Wang invested P yuan. The value of his investment decreased by each year. At the end of the first year, the value of Wang s investment was 30 481 yuan. (b) Work out the value of = ..(3)(Total for Question 7 is 6 marks) *P66297A0928*Turn over 9 8 The region, shown shaded in the diagram, is a NOT accurately drawn2 mO7 m The boundary of the path is formed by two semicircles, with the same centre O, and two straight lines.

8 The inner semicircle has a radius of 7 metres. The path has a width of 2 metres. Work out the perimeter of the path. Give your answer correct to one decimal m(Total for Question 8 is 3 marks) *P66297A01028*10 9 (a) Simplify (2x3y5) (2) (b) (i) Factorise x2 + 5x 36 ..(2) (ii) Hence, solve x2 + 5x 36 = (1)(Total for Question 9 is 5 marks) *P66297A01128*Turn over 11 10 Here is isosceles triangle cm65 DBCD iagram NOT accurately drawn D is the midpoint of AC and DB = 16 cm. Angle DAB = 65 Work out the perimeter of triangle ABC.

9 Give your answer correct to one decimal cm(Total for Question 10 is 4 marks) *P66297A01228*12 11 The cumulative frequency graph gives information about the weights, in grams, of 90 bags of (grams)Cumulative *P66297A01328*Turn over 13 (a) Find an estimate for the median of the weights of these bags of grams(2) Roberto sells the bags of sweets to raise money for charity. Bags with a weight greater than d grams are labelled large bags and sold for euros each bag. The total amount of money he receives by selling all the large bags is euros.

10 (b) Find the value of = ..(3)(Total for Question 11 is 5 marks) *P66297A01428*14 12 (a) Express 4231xx + as a single fraction. Give your answer in its simplest (3) (b) Expand and simplify 2x(x 5)(x 3)..(3)(Total for Question 12 is 6 marks) *P66297A01528*Turn over 15 13 Point A has coordinates (5, 8) Point B has coordinates (9, 4) (a) Work out the gradient of (2) The straight line L has equation y = 4x + 5 (b) Write down the gradient of a straight line that is perpendicular to (1)(Total for Question 13 is 3 marks) *P66297A01628*16 14 Ding is going to play one game of snooker against each of two of his friends, Marco and Judd.